If ABC and DEF are both 3-digit numbers such that A, B, C, D, E and F are distinct non-zero digits such that $ABC + DEF = 1111$ , then what is the value of $A + B + C + D + E + F$ ?

Kepler. Discussing PYQs. Q.no. 9

Q9: CSAT 2023 | IASCODEX | IASCODEX

If ABC and DEF are both 3-digit numbers such that A, B, C, D, E and F are distinct non-zero digits such that ABC+DEF=1111ABC + DEF = 1111ABC+DEF=1111 , then what is the value of A+B+C+D+E+FA + B + C + D + E + FA+B+C+D+E+F ?